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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    <a name="line.17"></a>
<FONT color="green">018</FONT>    package org.apache.commons.math3.ode;<a name="line.18"></a>
<FONT color="green">019</FONT>    <a name="line.19"></a>
<FONT color="green">020</FONT>    import java.util.ArrayList;<a name="line.20"></a>
<FONT color="green">021</FONT>    import java.util.Collection;<a name="line.21"></a>
<FONT color="green">022</FONT>    import java.util.Collections;<a name="line.22"></a>
<FONT color="green">023</FONT>    import java.util.Comparator;<a name="line.23"></a>
<FONT color="green">024</FONT>    import java.util.Iterator;<a name="line.24"></a>
<FONT color="green">025</FONT>    import java.util.List;<a name="line.25"></a>
<FONT color="green">026</FONT>    import java.util.SortedSet;<a name="line.26"></a>
<FONT color="green">027</FONT>    import java.util.TreeSet;<a name="line.27"></a>
<FONT color="green">028</FONT>    <a name="line.28"></a>
<FONT color="green">029</FONT>    import org.apache.commons.math3.analysis.solvers.BracketingNthOrderBrentSolver;<a name="line.29"></a>
<FONT color="green">030</FONT>    import org.apache.commons.math3.analysis.solvers.UnivariateSolver;<a name="line.30"></a>
<FONT color="green">031</FONT>    import org.apache.commons.math3.exception.DimensionMismatchException;<a name="line.31"></a>
<FONT color="green">032</FONT>    import org.apache.commons.math3.exception.MaxCountExceededException;<a name="line.32"></a>
<FONT color="green">033</FONT>    import org.apache.commons.math3.exception.NoBracketingException;<a name="line.33"></a>
<FONT color="green">034</FONT>    import org.apache.commons.math3.exception.NumberIsTooSmallException;<a name="line.34"></a>
<FONT color="green">035</FONT>    import org.apache.commons.math3.exception.util.LocalizedFormats;<a name="line.35"></a>
<FONT color="green">036</FONT>    import org.apache.commons.math3.ode.events.EventHandler;<a name="line.36"></a>
<FONT color="green">037</FONT>    import org.apache.commons.math3.ode.events.EventState;<a name="line.37"></a>
<FONT color="green">038</FONT>    import org.apache.commons.math3.ode.sampling.AbstractStepInterpolator;<a name="line.38"></a>
<FONT color="green">039</FONT>    import org.apache.commons.math3.ode.sampling.StepHandler;<a name="line.39"></a>
<FONT color="green">040</FONT>    import org.apache.commons.math3.util.FastMath;<a name="line.40"></a>
<FONT color="green">041</FONT>    import org.apache.commons.math3.util.Incrementor;<a name="line.41"></a>
<FONT color="green">042</FONT>    import org.apache.commons.math3.util.Precision;<a name="line.42"></a>
<FONT color="green">043</FONT>    <a name="line.43"></a>
<FONT color="green">044</FONT>    /**<a name="line.44"></a>
<FONT color="green">045</FONT>     * Base class managing common boilerplate for all integrators.<a name="line.45"></a>
<FONT color="green">046</FONT>     * @version $Id: AbstractIntegrator.java 1416643 2012-12-03 19:37:14Z tn $<a name="line.46"></a>
<FONT color="green">047</FONT>     * @since 2.0<a name="line.47"></a>
<FONT color="green">048</FONT>     */<a name="line.48"></a>
<FONT color="green">049</FONT>    public abstract class AbstractIntegrator implements FirstOrderIntegrator {<a name="line.49"></a>
<FONT color="green">050</FONT>    <a name="line.50"></a>
<FONT color="green">051</FONT>        /** Step handler. */<a name="line.51"></a>
<FONT color="green">052</FONT>        protected Collection&lt;StepHandler&gt; stepHandlers;<a name="line.52"></a>
<FONT color="green">053</FONT>    <a name="line.53"></a>
<FONT color="green">054</FONT>        /** Current step start time. */<a name="line.54"></a>
<FONT color="green">055</FONT>        protected double stepStart;<a name="line.55"></a>
<FONT color="green">056</FONT>    <a name="line.56"></a>
<FONT color="green">057</FONT>        /** Current stepsize. */<a name="line.57"></a>
<FONT color="green">058</FONT>        protected double stepSize;<a name="line.58"></a>
<FONT color="green">059</FONT>    <a name="line.59"></a>
<FONT color="green">060</FONT>        /** Indicator for last step. */<a name="line.60"></a>
<FONT color="green">061</FONT>        protected boolean isLastStep;<a name="line.61"></a>
<FONT color="green">062</FONT>    <a name="line.62"></a>
<FONT color="green">063</FONT>        /** Indicator that a state or derivative reset was triggered by some event. */<a name="line.63"></a>
<FONT color="green">064</FONT>        protected boolean resetOccurred;<a name="line.64"></a>
<FONT color="green">065</FONT>    <a name="line.65"></a>
<FONT color="green">066</FONT>        /** Events states. */<a name="line.66"></a>
<FONT color="green">067</FONT>        private Collection&lt;EventState&gt; eventsStates;<a name="line.67"></a>
<FONT color="green">068</FONT>    <a name="line.68"></a>
<FONT color="green">069</FONT>        /** Initialization indicator of events states. */<a name="line.69"></a>
<FONT color="green">070</FONT>        private boolean statesInitialized;<a name="line.70"></a>
<FONT color="green">071</FONT>    <a name="line.71"></a>
<FONT color="green">072</FONT>        /** Name of the method. */<a name="line.72"></a>
<FONT color="green">073</FONT>        private final String name;<a name="line.73"></a>
<FONT color="green">074</FONT>    <a name="line.74"></a>
<FONT color="green">075</FONT>        /** Counter for number of evaluations. */<a name="line.75"></a>
<FONT color="green">076</FONT>        private Incrementor evaluations;<a name="line.76"></a>
<FONT color="green">077</FONT>    <a name="line.77"></a>
<FONT color="green">078</FONT>        /** Differential equations to integrate. */<a name="line.78"></a>
<FONT color="green">079</FONT>        private transient ExpandableStatefulODE expandable;<a name="line.79"></a>
<FONT color="green">080</FONT>    <a name="line.80"></a>
<FONT color="green">081</FONT>        /** Build an instance.<a name="line.81"></a>
<FONT color="green">082</FONT>         * @param name name of the method<a name="line.82"></a>
<FONT color="green">083</FONT>         */<a name="line.83"></a>
<FONT color="green">084</FONT>        public AbstractIntegrator(final String name) {<a name="line.84"></a>
<FONT color="green">085</FONT>            this.name = name;<a name="line.85"></a>
<FONT color="green">086</FONT>            stepHandlers = new ArrayList&lt;StepHandler&gt;();<a name="line.86"></a>
<FONT color="green">087</FONT>            stepStart = Double.NaN;<a name="line.87"></a>
<FONT color="green">088</FONT>            stepSize  = Double.NaN;<a name="line.88"></a>
<FONT color="green">089</FONT>            eventsStates = new ArrayList&lt;EventState&gt;();<a name="line.89"></a>
<FONT color="green">090</FONT>            statesInitialized = false;<a name="line.90"></a>
<FONT color="green">091</FONT>            evaluations = new Incrementor();<a name="line.91"></a>
<FONT color="green">092</FONT>            setMaxEvaluations(-1);<a name="line.92"></a>
<FONT color="green">093</FONT>            evaluations.resetCount();<a name="line.93"></a>
<FONT color="green">094</FONT>        }<a name="line.94"></a>
<FONT color="green">095</FONT>    <a name="line.95"></a>
<FONT color="green">096</FONT>        /** Build an instance with a null name.<a name="line.96"></a>
<FONT color="green">097</FONT>         */<a name="line.97"></a>
<FONT color="green">098</FONT>        protected AbstractIntegrator() {<a name="line.98"></a>
<FONT color="green">099</FONT>            this(null);<a name="line.99"></a>
<FONT color="green">100</FONT>        }<a name="line.100"></a>
<FONT color="green">101</FONT>    <a name="line.101"></a>
<FONT color="green">102</FONT>        /** {@inheritDoc} */<a name="line.102"></a>
<FONT color="green">103</FONT>        public String getName() {<a name="line.103"></a>
<FONT color="green">104</FONT>            return name;<a name="line.104"></a>
<FONT color="green">105</FONT>        }<a name="line.105"></a>
<FONT color="green">106</FONT>    <a name="line.106"></a>
<FONT color="green">107</FONT>        /** {@inheritDoc} */<a name="line.107"></a>
<FONT color="green">108</FONT>        public void addStepHandler(final StepHandler handler) {<a name="line.108"></a>
<FONT color="green">109</FONT>            stepHandlers.add(handler);<a name="line.109"></a>
<FONT color="green">110</FONT>        }<a name="line.110"></a>
<FONT color="green">111</FONT>    <a name="line.111"></a>
<FONT color="green">112</FONT>        /** {@inheritDoc} */<a name="line.112"></a>
<FONT color="green">113</FONT>        public Collection&lt;StepHandler&gt; getStepHandlers() {<a name="line.113"></a>
<FONT color="green">114</FONT>            return Collections.unmodifiableCollection(stepHandlers);<a name="line.114"></a>
<FONT color="green">115</FONT>        }<a name="line.115"></a>
<FONT color="green">116</FONT>    <a name="line.116"></a>
<FONT color="green">117</FONT>        /** {@inheritDoc} */<a name="line.117"></a>
<FONT color="green">118</FONT>        public void clearStepHandlers() {<a name="line.118"></a>
<FONT color="green">119</FONT>            stepHandlers.clear();<a name="line.119"></a>
<FONT color="green">120</FONT>        }<a name="line.120"></a>
<FONT color="green">121</FONT>    <a name="line.121"></a>
<FONT color="green">122</FONT>        /** {@inheritDoc} */<a name="line.122"></a>
<FONT color="green">123</FONT>        public void addEventHandler(final EventHandler handler,<a name="line.123"></a>
<FONT color="green">124</FONT>                                    final double maxCheckInterval,<a name="line.124"></a>
<FONT color="green">125</FONT>                                    final double convergence,<a name="line.125"></a>
<FONT color="green">126</FONT>                                    final int maxIterationCount) {<a name="line.126"></a>
<FONT color="green">127</FONT>            addEventHandler(handler, maxCheckInterval, convergence,<a name="line.127"></a>
<FONT color="green">128</FONT>                            maxIterationCount,<a name="line.128"></a>
<FONT color="green">129</FONT>                            new BracketingNthOrderBrentSolver(convergence, 5));<a name="line.129"></a>
<FONT color="green">130</FONT>        }<a name="line.130"></a>
<FONT color="green">131</FONT>    <a name="line.131"></a>
<FONT color="green">132</FONT>        /** {@inheritDoc} */<a name="line.132"></a>
<FONT color="green">133</FONT>        public void addEventHandler(final EventHandler handler,<a name="line.133"></a>
<FONT color="green">134</FONT>                                    final double maxCheckInterval,<a name="line.134"></a>
<FONT color="green">135</FONT>                                    final double convergence,<a name="line.135"></a>
<FONT color="green">136</FONT>                                    final int maxIterationCount,<a name="line.136"></a>
<FONT color="green">137</FONT>                                    final UnivariateSolver solver) {<a name="line.137"></a>
<FONT color="green">138</FONT>            eventsStates.add(new EventState(handler, maxCheckInterval, convergence,<a name="line.138"></a>
<FONT color="green">139</FONT>                                            maxIterationCount, solver));<a name="line.139"></a>
<FONT color="green">140</FONT>        }<a name="line.140"></a>
<FONT color="green">141</FONT>    <a name="line.141"></a>
<FONT color="green">142</FONT>        /** {@inheritDoc} */<a name="line.142"></a>
<FONT color="green">143</FONT>        public Collection&lt;EventHandler&gt; getEventHandlers() {<a name="line.143"></a>
<FONT color="green">144</FONT>            final List&lt;EventHandler&gt; list = new ArrayList&lt;EventHandler&gt;();<a name="line.144"></a>
<FONT color="green">145</FONT>            for (EventState state : eventsStates) {<a name="line.145"></a>
<FONT color="green">146</FONT>                list.add(state.getEventHandler());<a name="line.146"></a>
<FONT color="green">147</FONT>            }<a name="line.147"></a>
<FONT color="green">148</FONT>            return Collections.unmodifiableCollection(list);<a name="line.148"></a>
<FONT color="green">149</FONT>        }<a name="line.149"></a>
<FONT color="green">150</FONT>    <a name="line.150"></a>
<FONT color="green">151</FONT>        /** {@inheritDoc} */<a name="line.151"></a>
<FONT color="green">152</FONT>        public void clearEventHandlers() {<a name="line.152"></a>
<FONT color="green">153</FONT>            eventsStates.clear();<a name="line.153"></a>
<FONT color="green">154</FONT>        }<a name="line.154"></a>
<FONT color="green">155</FONT>    <a name="line.155"></a>
<FONT color="green">156</FONT>        /** {@inheritDoc} */<a name="line.156"></a>
<FONT color="green">157</FONT>        public double getCurrentStepStart() {<a name="line.157"></a>
<FONT color="green">158</FONT>            return stepStart;<a name="line.158"></a>
<FONT color="green">159</FONT>        }<a name="line.159"></a>
<FONT color="green">160</FONT>    <a name="line.160"></a>
<FONT color="green">161</FONT>        /** {@inheritDoc} */<a name="line.161"></a>
<FONT color="green">162</FONT>        public double getCurrentSignedStepsize() {<a name="line.162"></a>
<FONT color="green">163</FONT>            return stepSize;<a name="line.163"></a>
<FONT color="green">164</FONT>        }<a name="line.164"></a>
<FONT color="green">165</FONT>    <a name="line.165"></a>
<FONT color="green">166</FONT>        /** {@inheritDoc} */<a name="line.166"></a>
<FONT color="green">167</FONT>        public void setMaxEvaluations(int maxEvaluations) {<a name="line.167"></a>
<FONT color="green">168</FONT>            evaluations.setMaximalCount((maxEvaluations &lt; 0) ? Integer.MAX_VALUE : maxEvaluations);<a name="line.168"></a>
<FONT color="green">169</FONT>        }<a name="line.169"></a>
<FONT color="green">170</FONT>    <a name="line.170"></a>
<FONT color="green">171</FONT>        /** {@inheritDoc} */<a name="line.171"></a>
<FONT color="green">172</FONT>        public int getMaxEvaluations() {<a name="line.172"></a>
<FONT color="green">173</FONT>            return evaluations.getMaximalCount();<a name="line.173"></a>
<FONT color="green">174</FONT>        }<a name="line.174"></a>
<FONT color="green">175</FONT>    <a name="line.175"></a>
<FONT color="green">176</FONT>        /** {@inheritDoc} */<a name="line.176"></a>
<FONT color="green">177</FONT>        public int getEvaluations() {<a name="line.177"></a>
<FONT color="green">178</FONT>            return evaluations.getCount();<a name="line.178"></a>
<FONT color="green">179</FONT>        }<a name="line.179"></a>
<FONT color="green">180</FONT>    <a name="line.180"></a>
<FONT color="green">181</FONT>        /** Prepare the start of an integration.<a name="line.181"></a>
<FONT color="green">182</FONT>         * @param t0 start value of the independent &lt;i&gt;time&lt;/i&gt; variable<a name="line.182"></a>
<FONT color="green">183</FONT>         * @param y0 array containing the start value of the state vector<a name="line.183"></a>
<FONT color="green">184</FONT>         * @param t target time for the integration<a name="line.184"></a>
<FONT color="green">185</FONT>         */<a name="line.185"></a>
<FONT color="green">186</FONT>        protected void initIntegration(final double t0, final double[] y0, final double t) {<a name="line.186"></a>
<FONT color="green">187</FONT>    <a name="line.187"></a>
<FONT color="green">188</FONT>            evaluations.resetCount();<a name="line.188"></a>
<FONT color="green">189</FONT>    <a name="line.189"></a>
<FONT color="green">190</FONT>            for (final EventState state : eventsStates) {<a name="line.190"></a>
<FONT color="green">191</FONT>                state.getEventHandler().init(t0, y0, t);<a name="line.191"></a>
<FONT color="green">192</FONT>            }<a name="line.192"></a>
<FONT color="green">193</FONT>    <a name="line.193"></a>
<FONT color="green">194</FONT>            for (StepHandler handler : stepHandlers) {<a name="line.194"></a>
<FONT color="green">195</FONT>                handler.init(t0, y0, t);<a name="line.195"></a>
<FONT color="green">196</FONT>            }<a name="line.196"></a>
<FONT color="green">197</FONT>    <a name="line.197"></a>
<FONT color="green">198</FONT>            setStateInitialized(false);<a name="line.198"></a>
<FONT color="green">199</FONT>    <a name="line.199"></a>
<FONT color="green">200</FONT>        }<a name="line.200"></a>
<FONT color="green">201</FONT>    <a name="line.201"></a>
<FONT color="green">202</FONT>        /** Set the equations.<a name="line.202"></a>
<FONT color="green">203</FONT>         * @param equations equations to set<a name="line.203"></a>
<FONT color="green">204</FONT>         */<a name="line.204"></a>
<FONT color="green">205</FONT>        protected void setEquations(final ExpandableStatefulODE equations) {<a name="line.205"></a>
<FONT color="green">206</FONT>            this.expandable = equations;<a name="line.206"></a>
<FONT color="green">207</FONT>        }<a name="line.207"></a>
<FONT color="green">208</FONT>    <a name="line.208"></a>
<FONT color="green">209</FONT>        /** {@inheritDoc} */<a name="line.209"></a>
<FONT color="green">210</FONT>        public double integrate(final FirstOrderDifferentialEquations equations,<a name="line.210"></a>
<FONT color="green">211</FONT>                                final double t0, final double[] y0, final double t, final double[] y)<a name="line.211"></a>
<FONT color="green">212</FONT>            throws DimensionMismatchException, NumberIsTooSmallException,<a name="line.212"></a>
<FONT color="green">213</FONT>                   MaxCountExceededException, NoBracketingException {<a name="line.213"></a>
<FONT color="green">214</FONT>    <a name="line.214"></a>
<FONT color="green">215</FONT>            if (y0.length != equations.getDimension()) {<a name="line.215"></a>
<FONT color="green">216</FONT>                throw new DimensionMismatchException(y0.length, equations.getDimension());<a name="line.216"></a>
<FONT color="green">217</FONT>            }<a name="line.217"></a>
<FONT color="green">218</FONT>            if (y.length != equations.getDimension()) {<a name="line.218"></a>
<FONT color="green">219</FONT>                throw new DimensionMismatchException(y.length, equations.getDimension());<a name="line.219"></a>
<FONT color="green">220</FONT>            }<a name="line.220"></a>
<FONT color="green">221</FONT>    <a name="line.221"></a>
<FONT color="green">222</FONT>            // prepare expandable stateful equations<a name="line.222"></a>
<FONT color="green">223</FONT>            final ExpandableStatefulODE expandableODE = new ExpandableStatefulODE(equations);<a name="line.223"></a>
<FONT color="green">224</FONT>            expandableODE.setTime(t0);<a name="line.224"></a>
<FONT color="green">225</FONT>            expandableODE.setPrimaryState(y0);<a name="line.225"></a>
<FONT color="green">226</FONT>    <a name="line.226"></a>
<FONT color="green">227</FONT>            // perform integration<a name="line.227"></a>
<FONT color="green">228</FONT>            integrate(expandableODE, t);<a name="line.228"></a>
<FONT color="green">229</FONT>    <a name="line.229"></a>
<FONT color="green">230</FONT>            // extract results back from the stateful equations<a name="line.230"></a>
<FONT color="green">231</FONT>            System.arraycopy(expandableODE.getPrimaryState(), 0, y, 0, y.length);<a name="line.231"></a>
<FONT color="green">232</FONT>            return expandableODE.getTime();<a name="line.232"></a>
<FONT color="green">233</FONT>    <a name="line.233"></a>
<FONT color="green">234</FONT>        }<a name="line.234"></a>
<FONT color="green">235</FONT>    <a name="line.235"></a>
<FONT color="green">236</FONT>        /** Integrate a set of differential equations up to the given time.<a name="line.236"></a>
<FONT color="green">237</FONT>         * &lt;p&gt;This method solves an Initial Value Problem (IVP).&lt;/p&gt;<a name="line.237"></a>
<FONT color="green">238</FONT>         * &lt;p&gt;The set of differential equations is composed of a main set, which<a name="line.238"></a>
<FONT color="green">239</FONT>         * can be extended by some sets of secondary equations. The set of<a name="line.239"></a>
<FONT color="green">240</FONT>         * equations must be already set up with initial time and partial states.<a name="line.240"></a>
<FONT color="green">241</FONT>         * At integration completion, the final time and partial states will be<a name="line.241"></a>
<FONT color="green">242</FONT>         * available in the same object.&lt;/p&gt;<a name="line.242"></a>
<FONT color="green">243</FONT>         * &lt;p&gt;Since this method stores some internal state variables made<a name="line.243"></a>
<FONT color="green">244</FONT>         * available in its public interface during integration ({@link<a name="line.244"></a>
<FONT color="green">245</FONT>         * #getCurrentSignedStepsize()}), it is &lt;em&gt;not&lt;/em&gt; thread-safe.&lt;/p&gt;<a name="line.245"></a>
<FONT color="green">246</FONT>         * @param equations complete set of differential equations to integrate<a name="line.246"></a>
<FONT color="green">247</FONT>         * @param t target time for the integration<a name="line.247"></a>
<FONT color="green">248</FONT>         * (can be set to a value smaller than &lt;code&gt;t0&lt;/code&gt; for backward integration)<a name="line.248"></a>
<FONT color="green">249</FONT>         * @exception NumberIsTooSmallException if integration step is too small<a name="line.249"></a>
<FONT color="green">250</FONT>         * @throws DimensionMismatchException if the dimension of the complete state does not<a name="line.250"></a>
<FONT color="green">251</FONT>         * match the complete equations sets dimension<a name="line.251"></a>
<FONT color="green">252</FONT>         * @exception MaxCountExceededException if the number of functions evaluations is exceeded<a name="line.252"></a>
<FONT color="green">253</FONT>         * @exception NoBracketingException if the location of an event cannot be bracketed<a name="line.253"></a>
<FONT color="green">254</FONT>         */<a name="line.254"></a>
<FONT color="green">255</FONT>        public abstract void integrate(ExpandableStatefulODE equations, double t)<a name="line.255"></a>
<FONT color="green">256</FONT>            throws NumberIsTooSmallException, DimensionMismatchException,<a name="line.256"></a>
<FONT color="green">257</FONT>                   MaxCountExceededException, NoBracketingException;<a name="line.257"></a>
<FONT color="green">258</FONT>    <a name="line.258"></a>
<FONT color="green">259</FONT>        /** Compute the derivatives and check the number of evaluations.<a name="line.259"></a>
<FONT color="green">260</FONT>         * @param t current value of the independent &lt;I&gt;time&lt;/I&gt; variable<a name="line.260"></a>
<FONT color="green">261</FONT>         * @param y array containing the current value of the state vector<a name="line.261"></a>
<FONT color="green">262</FONT>         * @param yDot placeholder array where to put the time derivative of the state vector<a name="line.262"></a>
<FONT color="green">263</FONT>         * @exception MaxCountExceededException if the number of functions evaluations is exceeded<a name="line.263"></a>
<FONT color="green">264</FONT>         * @exception DimensionMismatchException if arrays dimensions do not match equations settings<a name="line.264"></a>
<FONT color="green">265</FONT>         */<a name="line.265"></a>
<FONT color="green">266</FONT>        public void computeDerivatives(final double t, final double[] y, final double[] yDot)<a name="line.266"></a>
<FONT color="green">267</FONT>            throws MaxCountExceededException, DimensionMismatchException {<a name="line.267"></a>
<FONT color="green">268</FONT>            evaluations.incrementCount();<a name="line.268"></a>
<FONT color="green">269</FONT>            expandable.computeDerivatives(t, y, yDot);<a name="line.269"></a>
<FONT color="green">270</FONT>        }<a name="line.270"></a>
<FONT color="green">271</FONT>    <a name="line.271"></a>
<FONT color="green">272</FONT>        /** Set the stateInitialized flag.<a name="line.272"></a>
<FONT color="green">273</FONT>         * &lt;p&gt;This method must be called by integrators with the value<a name="line.273"></a>
<FONT color="green">274</FONT>         * {@code false} before they start integration, so a proper lazy<a name="line.274"></a>
<FONT color="green">275</FONT>         * initialization is done automatically on the first step.&lt;/p&gt;<a name="line.275"></a>
<FONT color="green">276</FONT>         * @param stateInitialized new value for the flag<a name="line.276"></a>
<FONT color="green">277</FONT>         * @since 2.2<a name="line.277"></a>
<FONT color="green">278</FONT>         */<a name="line.278"></a>
<FONT color="green">279</FONT>        protected void setStateInitialized(final boolean stateInitialized) {<a name="line.279"></a>
<FONT color="green">280</FONT>            this.statesInitialized = stateInitialized;<a name="line.280"></a>
<FONT color="green">281</FONT>        }<a name="line.281"></a>
<FONT color="green">282</FONT>    <a name="line.282"></a>
<FONT color="green">283</FONT>        /** Accept a step, triggering events and step handlers.<a name="line.283"></a>
<FONT color="green">284</FONT>         * @param interpolator step interpolator<a name="line.284"></a>
<FONT color="green">285</FONT>         * @param y state vector at step end time, must be reset if an event<a name="line.285"></a>
<FONT color="green">286</FONT>         * asks for resetting or if an events stops integration during the step<a name="line.286"></a>
<FONT color="green">287</FONT>         * @param yDot placeholder array where to put the time derivative of the state vector<a name="line.287"></a>
<FONT color="green">288</FONT>         * @param tEnd final integration time<a name="line.288"></a>
<FONT color="green">289</FONT>         * @return time at end of step<a name="line.289"></a>
<FONT color="green">290</FONT>         * @exception MaxCountExceededException if the interpolator throws one because<a name="line.290"></a>
<FONT color="green">291</FONT>         * the number of functions evaluations is exceeded<a name="line.291"></a>
<FONT color="green">292</FONT>         * @exception NoBracketingException if the location of an event cannot be bracketed<a name="line.292"></a>
<FONT color="green">293</FONT>         * @exception DimensionMismatchException if arrays dimensions do not match equations settings<a name="line.293"></a>
<FONT color="green">294</FONT>         * @since 2.2<a name="line.294"></a>
<FONT color="green">295</FONT>         */<a name="line.295"></a>
<FONT color="green">296</FONT>        protected double acceptStep(final AbstractStepInterpolator interpolator,<a name="line.296"></a>
<FONT color="green">297</FONT>                                    final double[] y, final double[] yDot, final double tEnd)<a name="line.297"></a>
<FONT color="green">298</FONT>            throws MaxCountExceededException, DimensionMismatchException, NoBracketingException {<a name="line.298"></a>
<FONT color="green">299</FONT>    <a name="line.299"></a>
<FONT color="green">300</FONT>                double previousT = interpolator.getGlobalPreviousTime();<a name="line.300"></a>
<FONT color="green">301</FONT>                final double currentT = interpolator.getGlobalCurrentTime();<a name="line.301"></a>
<FONT color="green">302</FONT>    <a name="line.302"></a>
<FONT color="green">303</FONT>                // initialize the events states if needed<a name="line.303"></a>
<FONT color="green">304</FONT>                if (! statesInitialized) {<a name="line.304"></a>
<FONT color="green">305</FONT>                    for (EventState state : eventsStates) {<a name="line.305"></a>
<FONT color="green">306</FONT>                        state.reinitializeBegin(interpolator);<a name="line.306"></a>
<FONT color="green">307</FONT>                    }<a name="line.307"></a>
<FONT color="green">308</FONT>                    statesInitialized = true;<a name="line.308"></a>
<FONT color="green">309</FONT>                }<a name="line.309"></a>
<FONT color="green">310</FONT>    <a name="line.310"></a>
<FONT color="green">311</FONT>                // search for next events that may occur during the step<a name="line.311"></a>
<FONT color="green">312</FONT>                final int orderingSign = interpolator.isForward() ? +1 : -1;<a name="line.312"></a>
<FONT color="green">313</FONT>                SortedSet&lt;EventState&gt; occuringEvents = new TreeSet&lt;EventState&gt;(new Comparator&lt;EventState&gt;() {<a name="line.313"></a>
<FONT color="green">314</FONT>    <a name="line.314"></a>
<FONT color="green">315</FONT>                    /** {@inheritDoc} */<a name="line.315"></a>
<FONT color="green">316</FONT>                    public int compare(EventState es0, EventState es1) {<a name="line.316"></a>
<FONT color="green">317</FONT>                        return orderingSign * Double.compare(es0.getEventTime(), es1.getEventTime());<a name="line.317"></a>
<FONT color="green">318</FONT>                    }<a name="line.318"></a>
<FONT color="green">319</FONT>    <a name="line.319"></a>
<FONT color="green">320</FONT>                });<a name="line.320"></a>
<FONT color="green">321</FONT>    <a name="line.321"></a>
<FONT color="green">322</FONT>                for (final EventState state : eventsStates) {<a name="line.322"></a>
<FONT color="green">323</FONT>                    if (state.evaluateStep(interpolator)) {<a name="line.323"></a>
<FONT color="green">324</FONT>                        // the event occurs during the current step<a name="line.324"></a>
<FONT color="green">325</FONT>                        occuringEvents.add(state);<a name="line.325"></a>
<FONT color="green">326</FONT>                    }<a name="line.326"></a>
<FONT color="green">327</FONT>                }<a name="line.327"></a>
<FONT color="green">328</FONT>    <a name="line.328"></a>
<FONT color="green">329</FONT>                while (!occuringEvents.isEmpty()) {<a name="line.329"></a>
<FONT color="green">330</FONT>    <a name="line.330"></a>
<FONT color="green">331</FONT>                    // handle the chronologically first event<a name="line.331"></a>
<FONT color="green">332</FONT>                    final Iterator&lt;EventState&gt; iterator = occuringEvents.iterator();<a name="line.332"></a>
<FONT color="green">333</FONT>                    final EventState currentEvent = iterator.next();<a name="line.333"></a>
<FONT color="green">334</FONT>                    iterator.remove();<a name="line.334"></a>
<FONT color="green">335</FONT>    <a name="line.335"></a>
<FONT color="green">336</FONT>                    // restrict the interpolator to the first part of the step, up to the event<a name="line.336"></a>
<FONT color="green">337</FONT>                    final double eventT = currentEvent.getEventTime();<a name="line.337"></a>
<FONT color="green">338</FONT>                    interpolator.setSoftPreviousTime(previousT);<a name="line.338"></a>
<FONT color="green">339</FONT>                    interpolator.setSoftCurrentTime(eventT);<a name="line.339"></a>
<FONT color="green">340</FONT>    <a name="line.340"></a>
<FONT color="green">341</FONT>                    // trigger the event<a name="line.341"></a>
<FONT color="green">342</FONT>                    interpolator.setInterpolatedTime(eventT);<a name="line.342"></a>
<FONT color="green">343</FONT>                    final double[] eventY = interpolator.getInterpolatedState().clone();<a name="line.343"></a>
<FONT color="green">344</FONT>                    currentEvent.stepAccepted(eventT, eventY);<a name="line.344"></a>
<FONT color="green">345</FONT>                    isLastStep = currentEvent.stop();<a name="line.345"></a>
<FONT color="green">346</FONT>    <a name="line.346"></a>
<FONT color="green">347</FONT>                    // handle the first part of the step, up to the event<a name="line.347"></a>
<FONT color="green">348</FONT>                    for (final StepHandler handler : stepHandlers) {<a name="line.348"></a>
<FONT color="green">349</FONT>                        handler.handleStep(interpolator, isLastStep);<a name="line.349"></a>
<FONT color="green">350</FONT>                    }<a name="line.350"></a>
<FONT color="green">351</FONT>    <a name="line.351"></a>
<FONT color="green">352</FONT>                    if (isLastStep) {<a name="line.352"></a>
<FONT color="green">353</FONT>                        // the event asked to stop integration<a name="line.353"></a>
<FONT color="green">354</FONT>                        System.arraycopy(eventY, 0, y, 0, y.length);<a name="line.354"></a>
<FONT color="green">355</FONT>                        for (final EventState remaining : occuringEvents) {<a name="line.355"></a>
<FONT color="green">356</FONT>                            remaining.stepAccepted(eventT, eventY);<a name="line.356"></a>
<FONT color="green">357</FONT>                        }<a name="line.357"></a>
<FONT color="green">358</FONT>                        return eventT;<a name="line.358"></a>
<FONT color="green">359</FONT>                    }<a name="line.359"></a>
<FONT color="green">360</FONT>    <a name="line.360"></a>
<FONT color="green">361</FONT>                    if (currentEvent.reset(eventT, eventY)) {<a name="line.361"></a>
<FONT color="green">362</FONT>                        // some event handler has triggered changes that<a name="line.362"></a>
<FONT color="green">363</FONT>                        // invalidate the derivatives, we need to recompute them<a name="line.363"></a>
<FONT color="green">364</FONT>                        System.arraycopy(eventY, 0, y, 0, y.length);<a name="line.364"></a>
<FONT color="green">365</FONT>                        computeDerivatives(eventT, y, yDot);<a name="line.365"></a>
<FONT color="green">366</FONT>                        resetOccurred = true;<a name="line.366"></a>
<FONT color="green">367</FONT>                        for (final EventState remaining : occuringEvents) {<a name="line.367"></a>
<FONT color="green">368</FONT>                            remaining.stepAccepted(eventT, eventY);<a name="line.368"></a>
<FONT color="green">369</FONT>                        }<a name="line.369"></a>
<FONT color="green">370</FONT>                        return eventT;<a name="line.370"></a>
<FONT color="green">371</FONT>                    }<a name="line.371"></a>
<FONT color="green">372</FONT>    <a name="line.372"></a>
<FONT color="green">373</FONT>                    // prepare handling of the remaining part of the step<a name="line.373"></a>
<FONT color="green">374</FONT>                    previousT = eventT;<a name="line.374"></a>
<FONT color="green">375</FONT>                    interpolator.setSoftPreviousTime(eventT);<a name="line.375"></a>
<FONT color="green">376</FONT>                    interpolator.setSoftCurrentTime(currentT);<a name="line.376"></a>
<FONT color="green">377</FONT>    <a name="line.377"></a>
<FONT color="green">378</FONT>                    // check if the same event occurs again in the remaining part of the step<a name="line.378"></a>
<FONT color="green">379</FONT>                    if (currentEvent.evaluateStep(interpolator)) {<a name="line.379"></a>
<FONT color="green">380</FONT>                        // the event occurs during the current step<a name="line.380"></a>
<FONT color="green">381</FONT>                        occuringEvents.add(currentEvent);<a name="line.381"></a>
<FONT color="green">382</FONT>                    }<a name="line.382"></a>
<FONT color="green">383</FONT>    <a name="line.383"></a>
<FONT color="green">384</FONT>                }<a name="line.384"></a>
<FONT color="green">385</FONT>    <a name="line.385"></a>
<FONT color="green">386</FONT>                interpolator.setInterpolatedTime(currentT);<a name="line.386"></a>
<FONT color="green">387</FONT>                final double[] currentY = interpolator.getInterpolatedState();<a name="line.387"></a>
<FONT color="green">388</FONT>                for (final EventState state : eventsStates) {<a name="line.388"></a>
<FONT color="green">389</FONT>                    state.stepAccepted(currentT, currentY);<a name="line.389"></a>
<FONT color="green">390</FONT>                    isLastStep = isLastStep || state.stop();<a name="line.390"></a>
<FONT color="green">391</FONT>                }<a name="line.391"></a>
<FONT color="green">392</FONT>                isLastStep = isLastStep || Precision.equals(currentT, tEnd, 1);<a name="line.392"></a>
<FONT color="green">393</FONT>    <a name="line.393"></a>
<FONT color="green">394</FONT>                // handle the remaining part of the step, after all events if any<a name="line.394"></a>
<FONT color="green">395</FONT>                for (StepHandler handler : stepHandlers) {<a name="line.395"></a>
<FONT color="green">396</FONT>                    handler.handleStep(interpolator, isLastStep);<a name="line.396"></a>
<FONT color="green">397</FONT>                }<a name="line.397"></a>
<FONT color="green">398</FONT>    <a name="line.398"></a>
<FONT color="green">399</FONT>                return currentT;<a name="line.399"></a>
<FONT color="green">400</FONT>    <a name="line.400"></a>
<FONT color="green">401</FONT>        }<a name="line.401"></a>
<FONT color="green">402</FONT>    <a name="line.402"></a>
<FONT color="green">403</FONT>        /** Check the integration span.<a name="line.403"></a>
<FONT color="green">404</FONT>         * @param equations set of differential equations<a name="line.404"></a>
<FONT color="green">405</FONT>         * @param t target time for the integration<a name="line.405"></a>
<FONT color="green">406</FONT>         * @exception NumberIsTooSmallException if integration span is too small<a name="line.406"></a>
<FONT color="green">407</FONT>         * @exception DimensionMismatchException if adaptive step size integrators<a name="line.407"></a>
<FONT color="green">408</FONT>         * tolerance arrays dimensions are not compatible with equations settings<a name="line.408"></a>
<FONT color="green">409</FONT>         */<a name="line.409"></a>
<FONT color="green">410</FONT>        protected void sanityChecks(final ExpandableStatefulODE equations, final double t)<a name="line.410"></a>
<FONT color="green">411</FONT>            throws NumberIsTooSmallException, DimensionMismatchException {<a name="line.411"></a>
<FONT color="green">412</FONT>    <a name="line.412"></a>
<FONT color="green">413</FONT>            final double threshold = 1000 * FastMath.ulp(FastMath.max(FastMath.abs(equations.getTime()),<a name="line.413"></a>
<FONT color="green">414</FONT>                                                                      FastMath.abs(t)));<a name="line.414"></a>
<FONT color="green">415</FONT>            final double dt = FastMath.abs(equations.getTime() - t);<a name="line.415"></a>
<FONT color="green">416</FONT>            if (dt &lt;= threshold) {<a name="line.416"></a>
<FONT color="green">417</FONT>                throw new NumberIsTooSmallException(LocalizedFormats.TOO_SMALL_INTEGRATION_INTERVAL,<a name="line.417"></a>
<FONT color="green">418</FONT>                                                    dt, threshold, false);<a name="line.418"></a>
<FONT color="green">419</FONT>            }<a name="line.419"></a>
<FONT color="green">420</FONT>    <a name="line.420"></a>
<FONT color="green">421</FONT>        }<a name="line.421"></a>
<FONT color="green">422</FONT>    <a name="line.422"></a>
<FONT color="green">423</FONT>    }<a name="line.423"></a>




























































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